Algebra

Special Dual Like Numbers and Lattices, by W. B. Vasantha Kandasamy, Florentin Smarandache

In this book we define x = a+bg to be a special dual like number, where a, b are reals and g is a new element such that g^2 = g.
The new element which is idempotent can be got from Z_n or from lattices or from linear operators.
Mixed dual numbers are constructed using dual numbers and special dual like numbers.
Neutrosophic numbers are a natural source of special dual like numbers, since they have the form a+bI, where I = indeterminate and I^2 = I.

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